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一维p-Laplacian方程的两点奇异边值问题正解的存在性 被引量:7

Positive Solutions for Singular Two-point Boundary Value Problem for p-Laplacian Equation
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摘要 该文讨论了如下一维p-Laplacian方程{-(|u′(t)|^(p-2)u′(t))′=a(t)f=(u(t)),t∈(0,1),u(0)=u(1)=0的两点奇异边值问题正解的存在性,其中f可能在t=0,1都有奇点。 Some results on existence of positive solutions for singular boundary value problem {-(|u′(t)|^(p-2)u′(t))′=a(t)f=(u(t)),t∈(0,1), u(0)=u(1)=0 have been given, where the function a(t) may be singular at t = 0, 1.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2007年第3期549-558,共10页 Acta Mathematica Scientia
基金 云南省教育厅基金(Ky416140)资助
关键词 奇异边值问题 正解 变分法 P-LAPLACIAN方程 Singular boundary value problem Positive solution p-Laplacian equation
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参考文献7

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